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Home » The particle changes direction where the derivative \( y' \) changes sign. - AdVision eCommerce

The particle changes direction where the derivative \( y' \) changes sign. - AdVision eCommerce

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Use the sine function: height = 20 × sin(75°).

📌 Calculate: \( \sin(75°) \approx 0.9659 \).

📌 Height = 20 × 0.9659 ≈ 19.318 feet.

📌 #### 19.318

📌 A company’s revenue grows by 12% each year. If the revenue was $500,000 last year, what will it be in two years?

📌 First year: $500,000 + 12% of $500,000 = $500,000 + $60,000 = $560,000.

📌 Second year: $560,000 + 12% of $560,000 = $560,000 + $67,200 = $627,200.

📌 #### 627,200Question: Let $ a $ and $ b $ be positive real numbers such that $ \frac{a}{b} + \frac{b}{a} = 5 $. Find the value of $ \frac{a^2 + b^2}{a^2 - b^2} + \frac{a^2 - b^2}{a^2 + b^2} $.

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